Categories of holomorphic line bundles on higher dimensional noncommutative complex tori
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Publication:3529753
DOI10.1063/1.2719564zbMath1144.81365arXivhep-th/0510119OpenAlexW3100980142MaRDI QIDQ3529753
Publication date: 14 October 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0510119
Noncommutative differential geometry (46L87) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)
Related Items (3)
The bar derived category of a curved dg algebra ⋮ Cohomology groups of deformations of line bundles on complex tori ⋮ The Riemann-Roch theorem on higher dimensional complex noncommutative tori
Cites Work
- Unnamed Item
- Kronecker foliation, D1-branes and Morita equivalence of noncommutative two-tori
- The Lie algebra structure of tangent cohomology and deformation theory
- Categorical mirror symmetry: The elliptic curve
- Categories of holomorphic vector bundles on noncommutative two-tori
- Morita equivalence and duality.
- Homotopy algebra morphism and geometry of classical string field theories
- Quantization and Morita equivalence for constant Dirac structures on tori.
- Noncommutative supergeometry, duality and deformations
- Differential and complex geometry of two-dimensional noncommutative tori
- Deformation quantization of Poisson manifolds
- Topological correlators in Landau-Ginzburg models with boundaries
- Star product formula of theta functions
- Mirror symmetry and generalized complex manifolds. I: The transform on vector bundles, spinors, and branes
- NONCOMMUTATIVE HOMOTOPY ALGEBRAS ASSOCIATED WITH OPEN STRINGS
- Open-closed homotopy algebra in mathematical physics
- Projective Modules over Higher-Dimensional Non-Commutative Tori
- Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
- D-BRANE CATEGORIES
- MORITA EQUIVALENCE OF MULTIDIMENSIONAL NONCOMMUTATIVE TORI
- Mirror symmetry of abelian varieties and multi-theta functions
- TOPOLOGICAL STRINGS ON NONCOMMUTATIVE MANIFOLDS
- Theta functions on noncommutative T4
- SOME PROPERTIES OF NONLINEAR σ-MODELS IN NONCOMMUTATIVE GEOMETRY
- Theta functions on noncommutative tori
- Introduction to M(atrix) theory and noncommutative geometry
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